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Mixed state estimation for a linear Gaussian Markov model
Discrete dynamical system Boolean state of continuous linear transmission Boolean state variables noise markov chain
2015/8/10
We consider a discrete-time dynamical system with Boolean and continuous states, with the continuous state propagating linearly in the continuous and Boolean state variables, and an additive Gaussian ...
Feigenbaum Cascade of Discrete Breathers in a Model of DNA
Feigenbaum Cascade of Discrete Breathers Model of DNA
2010/12/28
We demonstrate that period-doubled discrete breathers appear from the anti-continuum limit of
the driven Peyrard-Bishop-Dauxois model of DNA. These novel breathers result from a stability
overlap be...
Discrete holomorphic parafermions in the Ashkin-Teller model and SLE
Discrete holomorphic parafermions Ashkin-Teller model SLE
2010/12/15
We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model to the O(n = 1) model. We give support to the conjecture that ...
Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
Bä cklund Transformations trigonometric Gaudin model integrable time-discretizations
2010/4/2
We construct a two-parameter family of B\"acklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.Kuznetsov (1998,199...
Integrable discretizations for the short wave model of the Camassa-Holm equation
Integrable discretizations short wave Camassa-Holm equation
2010/4/2
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of th...
Equilibria in a Dipersal Model for Structured Populations
Integro-difference equations Dynamical systems Dispersion Structured populations
2010/2/26
We derive a model for structured population with a two-phase life cycle. Growth and reproduction occur during the first phase. The first phase is followed by a dispersal phase in which individuals are...